82582182564 has 96 divisors (see below), whose sum is σ = 225881913600. Its totient is φ = 22994170368.

The previous prime is 82582182541. The next prime is 82582182569. The reversal of 82582182564 is 46528128528.

It is a super-2 number, since 2×82582182564² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82582182569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 601102 + ... + 725594.

It is an arithmetic number, because the mean of its divisors is an integer number (2352936600).

Almost surely, 2^82582182564 is an apocalyptic number.

82582182564 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82582182564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112940956800).

82582182564 is an abundant number, since it is smaller than the sum of its proper divisors (143299731036).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82582182564 is a wasteful number, since it uses less digits than its factorization.

82582182564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124709 (or 124707 counting only the distinct ones).

The product of its digits is 2457600, while the sum is 51.

The spelling of 82582182564 in words is "eighty-two billion, five hundred eighty-two million, one hundred eighty-two thousand, five hundred sixty-four".